(a) Solve the following inequality and show the solution set on the real line.

4 23xx+br/>−

(b) Find the centre and radius of the circle with equation:

2210 8 59 0xy xy+− +−=

Question: 2 Marks: 5 + 5

( ) graphed here, state whether the following limits exist or not?If they exist then determine it .Moreover, if they do not exist then just(a) For the following functiify the answer with appropriate roe onn as .s ft=

021(I) lim ( )(II) lim ( )(III) lim ( )tttftftft→→→−−

4 3 2 1 1 21.00.50.51.0

222343(b) Let ( ) xxxxxh −−−+= 3(I) Make a table of the values of at 2.9 2.99 2.999 2.9999 and so on.Then estimate lim ( ).What estimate do you arrive at if you evaluate at 3.1 3.01 3.001 and so on ?,, , ,,, ,xh x hxhx→==

SECTION 4 ( For the students registered with Section incharge Mr. Mansoor Khurshid ) Question: 1 Marks: 5 Find the slope and y-intercept of the line 3 12 27 0.xy− += Deduce the x-intercept from the equation of the line. Question: 2 Marks: 3 + 2 (a) What do you judge about the differentiability of ()fx x= at 0x = ? Support your answer with explanations and reasoning.

(b) Write names of two functions which are continuous on the set of real numbers ( ) .. ,R ie −∞ ∞

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